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3 years ago

Write the equation of the line that has a slope of -5 and goes through (1,-4)

Mathematics

1 answer:

saveliy_v [14]3 years ago

7 0

Answer:

y=-5x+1

Step-by-step explanation:

plug the coordinate points to the equation, and find your y intercept

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The fish population in a local lake is 10,000. The population increase by half every year. Which function represents the fish po

sweet-ann [11.9K]

Answer:

5. f(x) = 10,000 (1.5)^x

Step-by-step explanation:

We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.

Let's test it.

Initial:

10,000

After 1 year

10,000 + (.5*10000)

10,000 + 5000 = 15,000

After 2 years

15,000 + (.5*15000)

15,000 + 7500 = 22,500

Let's try our equation.

f(x) = 10,000 (1.5)^x

x = 2

10,000(1.5)^2

10,000(2.25) = 22,500

The same!

7 0

3 years ago

Read 2 more answers

How do you solve an absolute value equation?

Mkey [24]

The distance between two real numbers $x,y$ is the absolute value of their difference, $|x-y|$ . So the statement "all $x$ that are 1/4 away from -6" is captured in the equation

$|x-(-6)|=\dfrac14$

$|x+6|=\dfrac14$

To solve, you can use the definition of absolute value: if $x$ is not negative, then $|x|=x$ ; otherwise, $|x|=-x$ .

So there are two cases to consider:

1. Suppose $x+6\ge0$ . Then $|x+6|=x+6$ , and the equation reduces to

$x+6=\dfrac14\implies x=-\dfrac{23}4$

2. Suppose $x+6$ . Then $|x+6|=-(x+6)=-x-6$ and

$-x-6=\dfrac14\implies x=-\dfrac{25}4$

$-6=-\dfrac{24}4$ , so the two solutions we found are correct because both $-\dfrac{23}4$ and $-\dfrac{25}4$ are indeed 1/4 away from -6.

- - -

For the question regarding inequality, you know that the absolute value must return a non-negative number. In other words, there is no $x$ such that $|x|$ .

6 0

3 years ago

Pls help, i forgot what 6 - 4 is pls help ;(

Viefleur [7K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP WILL DO BRAINLIEST!!!!!!! Part A: Three equations that all represent the same function f are shown. Select the

Serga [27]

Answer:

A: f(x)=2x^2 +12x +10

B: f(0) = 10

Step-by-step explanation:

Part A:

f(0) is a constant in the equation if the form is such that for x=0, all terms are zero except one of them. Standard form is one such form. This is the equation in standard form:

f(x) = 2x^2 +12x +10

Part B:

f(0) = 0 + 0 + 10

f(0) = 10

7 0

3 years ago

(please zoom / zoom out if needed to see question. (: )

Levart [38]

Hey, to find the area of the rhombus all you have to do is multiple the horizontal part in the inside to the vertical part (also inside the rhombus). After that divide by two and you have your answer.

6 0

3 years ago